1. Angle Relationships, Similarity and Parallelograms

2.  Point  Line  Plane

3.  Lines that intersect to form right angles. What is the symbol for perpendicular? It looks like “  ”.

4.  Review your worksheets.  What does a midpoint of a segment do?  It makes two congruent segments.  What does a bisector of an angle do?  It makes two congruent angles.

5.  It means objects are the same shape and size.  Set them equal.

6.  Vertical angles  Linear Pair  Complementary angles  Supplementary angles

7.  Vertical angles are congruent  …looks like a bow tie

8.  Linear pair angles have a sum of 180°

9.  Complementary angles have a sum of 90°.  Supplementary angles have a sum of 180°.

10.  If the lines are parallel, then alternate interior angles are congruent. (Look for Z)  If the lines are parallel, then corresponding angles are congruent. (Look for F)  If the lines are parallel, then consecutive interior angles are supplementary. (C – supp)

12.  Polygons whose corresponding side lengths are proportional and corresponding angles are congruent.

13.  Ratio of the lengths of two corresponding sides (always reduce)

14.  If two polygons are similar then the ratio of their perimeters is equal to the ratios of the corresponding side lengths.

15.  AA~  SAS~  SSS~

16.  If two angles of one triangle are congruent to two angles of another triangle, then the triangles are similar.

17.  If an angle of one triangle is congruent to an angle of another triangle and the lengths of the sides including these angles are proportional, then the triangles are similar.

18.  If the lengths of the corresponding sides of two triangles are proportional, then the triangles are similar.

21.  One pyramid has a height of 9 feet and the other has a height of 12 feet. If the two pyramids are similar, then  What is the scale factor of the smaller to the larger?  Answer: 3:4  What is the scale factor of the area of their bases?  Answer: 9:16  The volume of the smaller is 28 meters cubed. What is the volume of the larger?  Answer: 66.37 meters cubed

22.  If a triangle has two congruent sides, then the angles opposite those sides are congruent.  Or Base angles of an isosceles triangle are congruent.

23.  It is a quadrilateral with two pair of opposite sides parallel.

24.  Opposite sides are parallel.  Opposite sides are congruent.  Opposite angles are congruent.  Consecutive angles are supplementary.  Diagonals bisect each other.

25.  A quadrilateral with four right angles. What is another property of a rectangle? Answer: The diagonals are congruent.

26.  A quadrilateral with four congruent sides. What is a special property of a rhombus? Diagonals are perpendicular.

27.  A median is a segment from a vertex of a triangle to the midpoint of the opposite side.

28.  At a point called the centroid

29.  From the vertex to the centroid of the triangle is 2/3 the length of the median.

30.  The segment that joins the midpoints of two sides of a triangle is parallel to the third side and is ½ the length of the third side. What does x equal? 3

31.  The length of the segment that joins the midpoints of the legs of a trapezoid is ½ the length of the sum of the bases.